couple mode theory

Citation Author(s):
家轩
Submitted by:
Jiaxuan Zhang
Last updated:
Sat, 10/26/2024 - 12:48
DOI:
10.21227/x29d-sg48
License:
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Abstract 

(a) The 3D structural dimensions, refractive index distribution, and related parameters of the linear taper. (b) The corresponding 3D structure and refractive index distribution of the asymmetric taper. (c) The corresponding 3D structure and refractive index distribution of the parabolic taper. (d) The normalized electric field distribution in the cross-sectional direction, including TE0, TE1, and TE2 modes.

Instructions: 

Traditional coupled mode theory approximates varying structures by dividing them into several uniform sections with different waveguide widths. This segmentation often leads to unphysical field reflections at the interfaces between adjacent sections, impacting both power propagation and reflection coefficients of the devices. To mitigate this issue, we introduce an improved formula that incorporates a coefficient matrix at the interfaces to seamlessly balance field discontinuities. Simulation results clearly show that this method significantly enhances both computational accuracy and efficiency compared to the conventional coupled mode theory approach.

 

The main contributions of our work include:

 

Improved Coupled Mode Theory: We have formulated and validated an improved coupled mode theory that addresses the limitations of traditional approaches.

Field Continuity at Interfaces: By introducing a coefficient matrix at interfaces, we reduce unphysical field reflections and improve accuracy.

Enhanced Computational Efficiency: Our proposed method significantly increases computational efficiency as demonstrated through simulation results.

We believe that our findings will advance the understanding and design of photonic devices with gradually varying structures, and will be of great interest to the readers of IEEE Photonics Journal. The journal’s strong reputation and focus on high-quality, innovative research make it the ideal venue for our work.

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